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Finding the Fourth Proportional to 903.67, 1,247.04 and 510.73

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Solution

The fourth proportional to 903.67, 1,247.04 and 510.73 is: 704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.67 : 1,247.04 = 510.73 : x
  2. Step 2: Convert to fraction form
    903.67/1,247.04 = 510.73/x
  3. Step 3: Cross multiply
    903.67x = 1,247.04 × 510.73
  4. Step 4: Simplify right side
    903.67x = 636,900.74
  5. Step 5: Solve for x
    x = 636,900.74/903.67
  6. Step 6: Final answer
    x = 704.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.